Schroll, Sibylle, Treffinger, Hipolito and Valdivieso, Yadira (2021). On band modules and tau-tilting finiteness. Math. Z., 299 (3-4). S. 2405 - 2418. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

Full text not available from this repository.

Abstract

In this paper, motivated by a tau-tilting version of the Brauer-Thrall Conjectures, we study general properties of band modules and their endomorphisms in the module category of a finite dimensional algebra. As an application we describe properties of torsion classes containing band modules. Furthermore, we show that a special biserial algebra is tau-tilting finite if and only if no band module is a brick. We also recover a criterion for the tau-tilting finiteness of Brauer graph algebras in terms of the Brauer graph.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Schroll, SibylleUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Treffinger, HipolitoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Valdivieso, YadiraUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-581375
DOI: 10.1007/s00209-020-02687-2
Journal or Publication Title: Math. Z.
Volume: 299
Number: 3-4
Page Range: S. 2405 - 2418
Date: 2021
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 1432-1823
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
GENTLE ALGEBRAS; MAPSMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/58137

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item